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Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems

In this research, a comparison of the convergence rate of different basic methods is made in order to solve the Poisson equation, which is similar to some of the resulting equations in computational fluid mechanics. The Jacobi method, the point Gauss-Seidel method, them successive over-relaxation m...

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Main Authors: S Alkrbash, Abdulbaset, A Abosbaia, Alhadi, M Elfaghi, Abdulhafid
Format: Article
Language:English
Published: semarak ilmu 2023
Subjects:
T Technology (General)
Online Access:http://eprints.uthm.edu.my/8918/1/J15857_d0c544eacac447d7933331ff68dc26fd.pdf
http://eprints.uthm.edu.my/8918/
https://doi.org/10.37934/arfmts.101.1.186191
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spelling my.uthm.eprints.89182023-06-18T01:35:14Z http://eprints.uthm.edu.my/8918/ Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems S Alkrbash, Abdulbaset A Abosbaia, Alhadi M Elfaghi, Abdulhafid T Technology (General) In this research, a comparison of the convergence rate of different basic methods is made in order to solve the Poisson equation, which is similar to some of the resulting equations in computational fluid mechanics. The Jacobi method, the point Gauss-Seidel method, them successive over-relaxation method (SOR), the line Gauss method (TDMA), the ADI method and Strongly Implicit (SIP) method are among the iterative approaches investigated, which are then compared to find the most optimal method. The selection criteria included the number of iterations and the time needed to reach convergence. In both selection criteria, the SIP approach has been shown to be the most efficient. semarak ilmu 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/8918/1/J15857_d0c544eacac447d7933331ff68dc26fd.pdf S Alkrbash, Abdulbaset and A Abosbaia, Alhadi and M Elfaghi, Abdulhafid (2023) Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 101 (1). pp. 186-191. ISSN 2289-7879 https://doi.org/10.37934/arfmts.101.1.186191
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
S Alkrbash, Abdulbaset
A Abosbaia, Alhadi
M Elfaghi, Abdulhafid
Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
description In this research, a comparison of the convergence rate of different basic methods is made in order to solve the Poisson equation, which is similar to some of the resulting equations in computational fluid mechanics. The Jacobi method, the point Gauss-Seidel method, them successive over-relaxation method (SOR), the line Gauss method (TDMA), the ADI method and Strongly Implicit (SIP) method are among the iterative approaches investigated, which are then compared to find the most optimal method. The selection criteria included the number of iterations and the time needed to reach convergence. In both selection criteria, the SIP approach has been shown to be the most efficient.
format Article
author S Alkrbash, Abdulbaset
A Abosbaia, Alhadi
M Elfaghi, Abdulhafid
author_facet S Alkrbash, Abdulbaset
A Abosbaia, Alhadi
M Elfaghi, Abdulhafid
author_sort S Alkrbash, Abdulbaset
title Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
title_short Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
title_full Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
title_fullStr Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
title_full_unstemmed Comparison of Basic Iterative Methods Used to Solve of Heat and Fluid Flow Problems
title_sort comparison of basic iterative methods used to solve of heat and fluid flow problems
publisher semarak ilmu
publishDate 2023
url http://eprints.uthm.edu.my/8918/1/J15857_d0c544eacac447d7933331ff68dc26fd.pdf
http://eprints.uthm.edu.my/8918/
https://doi.org/10.37934/arfmts.101.1.186191
_version_ 1769845113061638144
score 13.211869

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